2255944672800 has 4320 divisors, whose sum is σ = 11151735243264. Its totient is φ = 438939648000.

The previous prime is 2255944672783. The next prime is 2255944672847. The reversal of 2255944672800 is 82764495522.

2255944672800 is a `hidden beast` number, since 2 + 2 + 5 + 59 + 446 + 72 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 52463829579 + ... + 52463829621.

Almost surely, 2^{2255944672800} is an apocalyptic number.

2255944672800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255944672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575867621632).

2255944672800 is an abundant number, since it is smaller than the sum of its proper divisors (8895790570464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2255944672800 is a wasteful number, since it uses less digits than its factorization.

2255944672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2255944672800 in words is "two trillion, two hundred fifty-five billion, nine hundred forty-four million, six hundred seventy-two thousand, eight hundred".